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Finding the Fourth Proportional to 1,153.95, 1,592.31 and 711.75

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Solution

The fourth proportional to 1,153.95, 1,592.31 and 711.75 is: 982.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.95 : 1,592.31 = 711.75 : x
  2. Step 2: Convert to fraction form
    1,153.95/1,592.31 = 711.75/x
  3. Step 3: Cross multiply
    1,153.95x = 1,592.31 × 711.75
  4. Step 4: Simplify right side
    1,153.95x = 1,133,326.64
  5. Step 5: Solve for x
    x = 1,133,326.64/1,153.95
  6. Step 6: Final answer
    x = 982.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.